105312125 has 8 divisors (see below), whose sum is σ = 131429688. Its totient is φ = 84249600.

The previous prime is 105312121. The next prime is 105312173. The reversal of 105312125 is 521213501.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 3481 + 105308644 = 59^2 + 10262^2 .

It is not a de Polignac number, because 105312125 - 2² = 105312121 is a prime.

It is a super-2 number, since 2×105312125² = 22181287344031250, which contains 22 as substring.

It is a Duffinian number.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 105312097 and 105312106.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105312121) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 421124 + ... + 421373.

It is an arithmetic number, because the mean of its divisors is an integer number (16428711).

Almost surely, 2^105312125 is an apocalyptic number.

It is an amenable number.

105312125 is a deficient number, since it is larger than the sum of its proper divisors (26117563).

105312125 is an frugal number, since it uses more digits than its factorization.

105312125 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 842512 (or 842502 counting only the distinct ones).

The product of its (nonzero) digits is 300, while the sum is 20.

The square root of 105312125 is about 10262.1696049130. The cubic root of 105312125 is about 472.2363991643.

Adding to 105312125 its reverse (521213501), we get a palindrome (626525626).

It can be divided in two parts, 10 and 5312125, that added together give a palindrome (5312135).

The spelling of 105312125 in words is "one hundred five million, three hundred twelve thousand, one hundred twenty-five".